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Finding the Third Proportional to 165,042 and 247,929

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Solution

The third proportional to 165,042 and 247,929 is: 372,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,042 : 247,929 = 247,929 : x
  2. Step 2: Convert to fraction form
    165,042/247,929 = 247,929/x
  3. Step 3: Cross multiply
    165,042x = 247,929 × 247,929
  4. Step 4: Simplify right side
    165,042x = 61,468,789,041
  5. Step 5: Solve for x
    x = 61,468,789,041/165,042
  6. Step 6: Final answer
    x = 372,443.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.